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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 066, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.066 (Mi sigma1862) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity

Nianhua Liab, Q. P. Liuc

a Faculty of Mathematics, National Research University Higher School of Economics, 119048, Moscow, Russia
b School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, P.R. China
c Department of Mathematics, China University of Mining and Technology, Beijing, 100083, P.R. China
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DOI: https://doi.org/10.3842/SIGMA.2022.066
Abstract: We present a reciprocal transformation which links the Geng–Xue equation to a particular reduction of the first negative flow of the Boussinesq hierarchy. We discuss two reductions of the reciprocal transformation for the Degasperis–Procesi and Novikov equations, respectively. With the aid of the Darboux transformation and the reciprocal transformation, we obtain a compact parametric representation for the smooth soliton solutions such as multi-kink solutions of the Geng–Xue equation.
Keywords: soliton, Darboux transformation, Lax pair.
Funding agency Grant number
National Natural Science Foundation of China 11805071
11871471
11931107
This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 11805071, 11871471 and 11931107).
Received: February 8, 2022; in final form August 30, 2022; Published online September 4, 2022
Bibliographic databases:
Document Type: Article
MSC: 35Q51, 35C08, 37K10
Language: English
Citation: Nianhua Li, Q. P. Liu, “Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity”, SIGMA, 18 (2022), 066, 14 pp.
Citation in format AMSBIB
\Bibitem{LiLiu22}
\by Nianhua~Li, Q.~P.~Liu
\paper Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity
\jour SIGMA
\yr 2022
\vol 18
\papernumber 066
\totalpages 14
\mathnet{http://mi.mathnet.ru/sigma1862}
\crossref{https://doi.org/10.3842/SIGMA.2022.066}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4475738}
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    		Symmetry, Integrability and Geometry: Methods and Applications
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